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http://hdl.handle.net/2445/201768
Title: | Bright soliton dynamics in confining and expelling potentials |
Author: | Parcerisa Conesa, Marc |
Director/Tutor: | Juliá-Díaz, Bruno Astrakharchik, Grigori |
Keywords: | Solitons Condensació de Bose-Einstein Treballs de fi de grau Solitons Bose-Einstein condensation Bachelor's theses |
Issue Date: | Jun-2023 |
Abstract: | This work presents an exploration of the dynamics of a Bose-Einstein Condensate (BEC) with a focus the bright soliton solution for the 1D Gross-Pitaevskii equation. The Crank-Nicolson algorithm is used to study the soliton trapped in a harmonic oscillator potential well, a case which can be used to test the solver. Two vibration modalities are revealed: Oscillations, with frequency ωosc = ω, and squeezing, with ωsq = 1 + 0.055 × ξ−2.49. Then the soliton is placed in an inverted harmonic oscillator potential, on which different dynamical regimes are discussed, which depend on the healing length and the oscillator length scale, presenting a transition at ξ ≈ 0.30 ± 0.05a0. |
Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2023, Tutors: Bruno Juliá Díaz, Grigori Astrakharchik |
URI: | http://hdl.handle.net/2445/201768 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
File | Description | Size | Format | |
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PARCERISA CONESA MARC.pdf | 1.72 MB | Adobe PDF | View/Open |
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